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Finding the Third Proportional to 71,102 and 153,043

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Solution

The third proportional to 71,102 and 153,043 is: 329,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102 : 153,043 = 153,043 : x
  2. Step 2: Convert to fraction form
    71,102/153,043 = 153,043/x
  3. Step 3: Cross multiply
    71,102x = 153,043 × 153,043
  4. Step 4: Simplify right side
    71,102x = 23,422,159,849
  5. Step 5: Solve for x
    x = 23,422,159,849/71,102
  6. Step 6: Final answer
    x = 329,416.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.